Mathematics

Recovering Differential Operators on a Graph with a Cycle and with Generalized Matching Conditions

Authors: Yurko V. A.

The solution of the inverse spectral problem is obtained for second-order differential operators on a graph with a cycle and with generalized matching conditions in the internal vertex.

On Convergence of Fourier – Vilenkin Series in L p [0, 1), 0 < p ≤ 1

Authors: Volosivets S. S.

In this paper we study convergence a.e. and L p -convergence (0 < p ≤ 1) of Fourier –Vilenkin series under some tauberian conditions on Fourier coefficients of a function. In the case of Fourier – Walsh series these results are obtained by F. Moricz.